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On the ratio of two blocks of consecutive integers

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Abstract

Under certain assumptions, it is shown that eq. (2) has only finitely many solutions in integersx≥0,y≥0,k≥2,l≥0. In particular, it is proved that (2) witha=b=1, l=k implies thatx=7,y=0,k=3.

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Authors and Affiliations

  1. School of Mathematics, Tata Institute of Fundamental Research, Homi Bhabha Road, 400005, Bombay

    N Saradha & T N Shorey

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  1. N Saradha
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  2. T N Shorey
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Saradha, N., Shorey, T.N. On the ratio of two blocks of consecutive integers. Proc. Indian Acad. Sci. (Math. Sci.) 100, 107–132 (1990). https://doi.org/10.1007/BF02880956

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  • DOI: https://doi.org/10.1007/BF02880956

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